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Finding the Fourth Proportional to 174.15, 237.30 and 170.42

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Solution

The fourth proportional to 174.15, 237.30 and 170.42 is: 232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.15 : 237.30 = 170.42 : x
  2. Step 2: Convert to fraction form
    174.15/237.30 = 170.42/x
  3. Step 3: Cross multiply
    174.15x = 237.30 × 170.42
  4. Step 4: Simplify right side
    174.15x = 40,439.48
  5. Step 5: Solve for x
    x = 40,439.48/174.15
  6. Step 6: Final answer
    x = 232.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.